Question

If the points (0,2) , (1,x)and ( 3,1)are collinear the

Answer 1

Step-by-step explanation:

please let me now if my answer is correct or incorrect.

If correct then kindly please mark it as brainlist

Answer 2

$\star\:\:\:\sf\large\underline\blue{Question:-}$

• If the points (0,2),(1,x) and (3,1) are collinear, find x.

$\star\:\:\:\sf\large\underline\blue{Solution:-}$

If the points are Collinear,then

Area of triangle ABC=0

$\sf \implies \frac{1}{2} \{ x_{1}( y_{2} - y_{3}) + x_{2}( y_{3} - y _{2} ) + x_{3}(y_{1} - y_{2}) \} = 0$

$\sf \implies\{ x_{1}( y_{2} - y_{3}) + x_{2}( y_{3} - y _{2} ) + x_{3}(y_{1} - y_{2}) \} = 0$

$\sf \implies 0(x - 1) + 1(1 - x) + 3(2 - x) = 0$

$\sf \implies1 - x + 6 - 3x = 0$

$\sf \implies 7 - 4x = 0$

$\sf \implies x = \frac{7}{4}$

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

• The value of x is $\sf \frac{7}{4}$